Physics, asked by Kuyung2614, 1 year ago

A force F=6i-8j+10k newton produces acceleration 1m/s2 in a body. The mass of the body is in kg

Answers

Answered by JunaidMirza
48
F = 6i - 8j + 10k
F = sqrt(6^2 + 8^2 + 10^2)
F = 14.14 N

m = F/a
= 14.14 / 1
= 14.14 kg

Mass of body is 14.14 kg
Answered by skyfall63
14

The mass of the body is 14.14 kg

Given:

F = 6i - 8j + 10k

Acceleration = 1 m/s^2

Solution:

We can calculate the magnitude of the given vector.

F=\sqrt{6^{2}+8^{2}+10^{2}}

F=\sqrt{36+64+100}

\Rightarrow F=\sqrt{200}

\Rightarrow F=14.14 \ N

By Newton’s second law of motion,

F= \text{Mass} \times \text{Acceleration}

Since, we need to determine the mass, we need to rearrange, we get,

\Rightarrow m=\frac{F}{a}

Therefore, by substituting the values in this equation, we get.

m=\frac{14.14}{1}

m=14.14 \ \mathrm{kg}

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